| John Playfair - 1855 - 318 sider
...This may be also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. **If a straight line lie divided into any two parts,...line, and one of the parts, together with the square** of the other part, is equal to the square of the straight line which is made vp of the whole and thefirst-mentioned... | |
| Great Britain. Committee on Education - 1855
...into any two parts, the squares of the whole line and of one of the parts are together equal to twice **the rectangle contained by the whole line and one of the parts, together with the square** of the other part. 5. To construct a square equal to a given rectangle. 6. If a straight line passing... | |
| Cambridge univ, exam. papers - 1856
...upon the sides which contain the right angle. 6. If a straight line be divided into anу two parts, **the rectangle contained by the whole line and one of the parts** is equal to the rectangle contained by the two parts together with the square of the aforesaid part.... | |
| W. Davis Haskoll - 1858 - 324 sider
...the square of the aforesaid part. If a straight line be divided into any two parts, four times tho **rectangle contained by the whole line, and one of the parts, together with the square** of the other part, is equal to the square of the straight line, which is made up of the whole line... | |
| Euclides - 1858
...the reetuinjle moler the ,SKW. BOOK II. 97 PROP. VIII. THEOR. If a si. line be divided into any tico **parts, four times the rectangle contained by 'the whole line and one of** tlie parti together with the square of the other part, is equal to the square of the st.i line which... | |
| War office - 1858 - 12 sider
...rectangles contained by the parts become ? 4. Divide a given straight line into two parts, so that **the rectangle contained by the whole line and one of the parts** shall be equal to the square of the other part. NATURAL SCIENCES. By MAJOR-GEN. PORTLOCK, RE, LL.D.,... | |
| Euclides - 1858
...the figures ; hence the use of k. PROP. 3. — THEOR. If a st. line be divided into any two parts, **the rectangle contained by the whole line and one of the parts,** is equal to the rectangle contained by the two parts together with the square of the aforesaid part.... | |
| Sandhurst roy. military coll - 1859 - 1869 sider
...line thus produced and the part of it produced, together with the square on half the line bisected, **is equal to the square on the straight line which is made up of the** half and the part produced. 4. In a circle the angle in a semicircle is a right angle'. ALGEBRA. 1.... | |
| Euclides - 1860
...in the point C ; to prove that four times the rectangle AB • BC, together with the square on AC, **is equal to the square on the straight line, which is made up of** AB and BC together. (Const.) Produce AB to D, so that BD be equal to CB, and upon AD describe the square... | |
| James Elliot - 1860
...Ex. C), the altitude of the triangle being a and the base b 1 8. A st* line a being divided so that **the rectangle contained by the whole line and one of the parts** is equal to the square of the other part, compute the lengths of the two parts. Ans. £a ( V 5 —... | |
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